Exercise
$\log\left(x^4\right)+\log\left(4x\right)=2+\log\left(x^3\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the logarithmic equation log(x^4)+log(4*x)=2+log(x^3). Express the numbers in the equation as logarithms of base 10. Group the terms of the equation by moving the terms that have the variable x to the left side, and those that do not have it to the right side. Use the following rule for logarithms: \log_b(b^k)=k. The difference of two logarithms of equal base b is equal to the logarithm of the quotient: \log_b(x)-\log_b(y)=\log_b\left(\frac{x}{y}\right).
Solve the logarithmic equation log(x^4)+log(4*x)=2+log(x^3)
Final answer to the exercise
$x=5$